{"id":"https://openalex.org/W2153620969","doi":"https://doi.org/10.1109/tac.2009.2017155","title":"Robust Stability Analysis of Nonlinear Hybrid Systems","display_name":"Robust Stability Analysis of Nonlinear Hybrid Systems","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W2153620969","doi":"https://doi.org/10.1109/tac.2009.2017155","mag":"2153620969"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2009.2017155","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2017155","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053811056","display_name":"Antonis Papachristodoulou","orcid":"https://orcid.org/0000-0002-3565-8967"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. Papachristodoulou","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, Oxford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022400557","display_name":"S. Prajna","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Prajna","raw_affiliation_strings":["Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.5517,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.98313616,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"54","issue":"5","first_page":"1035","last_page":"1041"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6622804403305054},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6596447825431824},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6398259401321411},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5415099263191223},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.5308215022087097},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5247029066085815},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5083698630332947},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5023715496063232},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4760429859161377},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4282541871070862},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4226342439651489},{"id":"https://openalex.org/keywords/kharitonovs-theorem","display_name":"Kharitonov's theorem","score":0.4107096791267395},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40469032526016235},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3905963897705078},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3595391511917114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3012084662914276},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.2145213484764099},{"id":"https://openalex.org/keywords/square-free-polynomial","display_name":"Square-free polynomial","score":0.09996911883354187},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07699453830718994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06988078355789185},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06749647855758667}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6622804403305054},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6596447825431824},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6398259401321411},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5415099263191223},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.5308215022087097},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5247029066085815},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5083698630332947},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5023715496063232},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4760429859161377},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4282541871070862},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4226342439651489},{"id":"https://openalex.org/C173047080","wikidata":"https://www.wikidata.org/wiki/Q6400676","display_name":"Kharitonov's theorem","level":5,"score":0.4107096791267395},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40469032526016235},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3905963897705078},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3595391511917114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3012084662914276},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.2145213484764099},{"id":"https://openalex.org/C101525915","wikidata":"https://www.wikidata.org/wiki/Q7581979","display_name":"Square-free polynomial","level":4,"score":0.09996911883354187},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07699453830718994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06988078355789185},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06749647855758667},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2009.2017155","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2017155","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:15222","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/15222/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4019957174","display_name":null,"funder_award_id":"EP/E05708X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W431400460","https://openalex.org/W1496537269","https://openalex.org/W1552094772","https://openalex.org/W1592648094","https://openalex.org/W1594130515","https://openalex.org/W1806104592","https://openalex.org/W1855336155","https://openalex.org/W1967344706","https://openalex.org/W1994385566","https://openalex.org/W1996715315","https://openalex.org/W1998357391","https://openalex.org/W2012527250","https://openalex.org/W2036031971","https://openalex.org/W2068617307","https://openalex.org/W2099212405","https://openalex.org/W2103594601","https://openalex.org/W2104958104","https://openalex.org/W2109339972","https://openalex.org/W2112248103","https://openalex.org/W2118741873","https://openalex.org/W2120207446","https://openalex.org/W2127513952","https://openalex.org/W2128207259","https://openalex.org/W2129492921","https://openalex.org/W2130519480","https://openalex.org/W2133404041","https://openalex.org/W2137547873","https://openalex.org/W2150414173","https://openalex.org/W2158681729","https://openalex.org/W2178412471","https://openalex.org/W2566720177","https://openalex.org/W3144358832","https://openalex.org/W3210839039","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W1480744582","https://openalex.org/W3141233039","https://openalex.org/W2755647171","https://openalex.org/W2972467443","https://openalex.org/W2169143853","https://openalex.org/W2427717405","https://openalex.org/W2001785873","https://openalex.org/W2060726248","https://openalex.org/W4296154543","https://openalex.org/W1542318010"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,49],"methodology":[3],"for":[4,59],"robust":[5,56],"stability":[6,57],"analysis":[7,58],"of":[8,16,31,34],"nonlinear":[9,60],"hybrid":[10,61],"systems,":[11],"through":[12],"the":[13,29],"algorithmic":[14],"construction":[15],"polynomial":[17,20,52],"and":[18,26,55],"piecewise":[19],"Lyapunov-like":[21],"functions":[22],"using":[23],"convex":[24],"optimization":[25],"in":[27,48],"particular":[28],"sum":[30],"squares":[32],"decomposition":[33],"multivariate":[35],"polynomials.":[36],"Several":[37],"improvements":[38],"compared":[39],"to":[40],"previous":[41],"approaches":[42],"are":[43],"discussed,":[44],"such":[45],"as":[46],"treating":[47],"unified":[50],"way":[51],"switching":[53],"surfaces":[54],"systems.":[62]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
